• finitely generated Kleinian group is an algebraic limit of geometrically finite Kleinian groups. Bers (1970) suggested the Bers density conjecture, that...
    4 KB (406 words) - 03:06, 12 April 2025
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    degenerate groups and space-filling curves associated to pseudo-Anosov maps. Ahlfors measure conjecture Density theorem for Kleinian groups Ending lamination...
    19 KB (2,344 words) - 16:27, 17 May 2025
  • density theorem may refer to Density conjecture for Kleinian groups Chebotarev's density theorem in algebraic number theory Jacobson density theorem in...
    358 bytes (74 words) - 11:03, 6 August 2017
  • Thumbnail for 3-manifold
    density theorem for Kleinian groups and the ending lamination theorem. It also implies the Ahlfors measure conjecture. The ending lamination theorem,...
    45 KB (5,821 words) - 09:01, 24 May 2025
  • hyperbolic 3-manifolds, together with the density theorem for Kleinian groups and the ending lamination theorem. It also implies the Ahlfors measure conjecture...
    4 KB (481 words) - 02:19, 12 April 2025
  • discrete group of isometries (Ratcliffe 1994, 12.7). Density theorem for Kleinian groups Greenberg, L. (1966), "Fundamental polyhedra for kleinian groups", Annals...
    3 KB (433 words) - 16:48, 9 March 2025
  • Thumbnail for William Thurston
    William Thurston (category Institute for Advanced Study visiting scholars)
    generalized Lipman Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleinian groups in the late 1970s and...
    23 KB (2,209 words) - 15:08, 12 May 2025
  • Lipman Bers (category Fellows of the American Association for the Advancement of Science)
    pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups. He was also known for his work in human rights activism. Bers was born in Riga...
    23 KB (2,423 words) - 20:13, 23 April 2025
  • Thumbnail for Thurston's 24 questions
    Thurston in his influential 1982 paper Three-dimensional manifolds, Kleinian groups and hyperbolic geometry published in the Bulletin of the American Mathematical...
    7 KB (191 words) - 22:21, 15 April 2025
  • Thumbnail for Dennis Sullivan
    generalized Lipman Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleinian groups in the late 1970s and...
    23 KB (1,897 words) - 01:55, 14 September 2024
  • 2011, Igor Mineyev, 2011) Density theorem (Hossein Namazi, Juan Souto, 2010) Full classification of finite simple groups (Koichiro Harada, Ronald Solomon...
    195 KB (20,026 words) - 13:12, 7 May 2025
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    1016/s0001-8708(71)80003-8 Maskit, Bernard (1988). "Poincaré's theorem". Kleinian groups. Grundlehren der mathematischen Wissenschaften. Vol. 287. Springer-Verlag...
    78 KB (10,933 words) - 23:50, 14 April 2025
  • Thumbnail for Jeffrey Brock
    (2006), no. 1, 1–22. (with Kenneth Bromberg) "On the density of geometrically finite Kleinian groups." Acta Math. 192 (2004), no. 1, 33–93. "The Weil–Petersson...
    8 KB (867 words) - 17:17, 12 June 2024
  • Thumbnail for Mandelbrot set
    Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations...
    70 KB (8,802 words) - 15:34, 22 May 2025
  • occur as p {\displaystyle p} runs through the primes—see Chebotarev density theorem. The law of quadratic reciprocity implies that the splitting behaviour...
    12 KB (1,306 words) - 09:53, 29 September 2024
  • Thumbnail for Samuel James Patterson
    (1989). "The Selberg zeta-function of a Kleinian group". Number theory, trace formulas and discrete groups. Symposium in Honor of Atle Selberg, Oslo/Norway...
    16 KB (1,504 words) - 23:13, 24 May 2025
  • Dynamics Theorem for embedded minimal surfaces Yair Minsky, Asymptotic geometry of the mapping class group Frank Morgan, Manifolds with Density Zoltan Szabo...
    27 KB (2,867 words) - 05:58, 19 May 2025